1,362,984

2³ × 3 × 7² × 19 × 61

1,362,984 factors as 2^3 × 3 × 7^2 × 19 × 61. Its 96 positive divisors give a proper-divisor sum of 2,877,816, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 19 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 4,240,800

Proper Divisor Sum 2,877,816

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1362973 ← → #1362989

Radix Representation

Decimal	1362984
Binary	101001100110000101000 (21 bits)
Octal	0o5146050
Hexadecimal	0x14CC28

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 61 76 84 98 114 122 133 147 152 168 183 196 228 244 266 294 366 392 399 427 456 488 532 588 732 798 854 931 1,064 1,159 1,176 1,281 1,464 1,596 1,708 1,862 2,318 2,562 2,793 2,989 3,192 3,416

Collatz Trajectory (199 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,362,984 681,492 340,746 170,373 511,120 255,560 127,780 63,890 31,945 95,836 47,918 23,959 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650

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